An O(n2) algorithm for signed translocation

  • Authors:
  • Lusheng Wang;Daming Zhu;Xiaowen Liu;Shaohan Ma

  • Affiliations:
  • Department of Computer Science, City University of Hong Kong, Kowloon, Hong Kong;School of Computer Science and Technology, Shandong University, Jinan 250100, P. R. China;School of Computer Science and Technology, Shandong University, Jinan 250100, P. R. China;School of Computer Science and Technology, Shandong University, Jinan 250100, P. R. China

  • Venue:
  • Journal of Computer and System Sciences - Special issue on bioinformatics II
  • Year:
  • 2005

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Abstract

Genome rearrangement is an important area in computational biology. There are three basic operations, reversal, translocation and transposition. Here we study the translocation operations. Multi-chromosomal genomes frequently evolve by translocation events that exchange genetic material between two chromosomes. We focus on the signed case, where the direction of each gene is known. The signed translocation problem asks to find the minimum number of translocation operations as well as the sequence of translocation operations to transform one genome into the other. A linear-time algorithm that computes the minimum number of translocation operations was given in a linear-time algorithm for computing translocation distance between signed genomes [16]. However, that algorithm cannot give the optimum sequence of translocation operations. The best known algorithm that can give the optimum sequence of translocation operations for signed translocation problem runs in O(n^2logn) time. In this paper, we design an O(n^2) algorithm. thm.